10917828 has 60 divisors (see below), whose sum is σ = 29489152. Its totient is φ = 3518640.

The previous prime is 10917827. The next prime is 10917839. The reversal of 10917828 is 82871901.

10917828 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10917792 and 10917801.

It is not an unprimeable number, because it can be changed into a prime (10917821) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 9501 + ... + 10587.

Almost surely, 2^10917828 is an apocalyptic number.

10917828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10917828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14744576).

10917828 is an abundant number, since it is smaller than the sum of its proper divisors (18571324).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10917828 is a wasteful number, since it uses less digits than its factorization.

10917828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 10917828 is about 3304.2136734782. The cubic root of 10917828 is about 221.8428398272.

The spelling of 10917828 in words is "ten million, nine hundred seventeen thousand, eight hundred twenty-eight".